Practice test

Wbcs preliminary (general mental ability) sectional test - Test Set 1

Review 100 exam-focused questions with detailed explanations, then start the interactive test when you are ready.

100 questions

Questions and explanations

  1. Question 1

    Thermometer : Temperature :: Hygrometer : ?
    1. Pressure
    2. Density
    3. Humidity
    4. Current
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  2. Question 2

    Find the missing number:

    8, 15, 28, 53, ?
    1. 102
    2. 98
    3. 106
    4. 100
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  3. Question 3

    If in a certain code language 'ROAST' is coded as 'PQYUR', how will the word 'SLOPPY' be coded?
    1. QNMRNA
    2. QNNRNA
    3. QNMRMA
    4. QMNRNA
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  4. Question 4

    Pointing to a photograph of a boy, Suresh said, "He is the son of the only son of my mother." How is Suresh related to that boy?
    1. Brother
    2. Uncle
    3. Cousin
    4. Father
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  5. Question 5

    A girl goes 30 meters North, then she turns right and walks 40 meters. She turns right again and walks 20 meters, then finally turns right and walks 40 meters. How far is she from her original starting position?
    1. 10 meters
    2. 20 meters
    3. 30 meters
    4. 0 meters
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  6. Question 6

    Two different positions of a standard dice are shown. In the first position, faces 1, 2, and 3 are visible. In the second position, faces 1, 4, and 5 are visible. Which number lies on the face completely opposite to 2?
    1. 3
    2. 4
    3. 5
    4. 6
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  7. Question 7

    What will be the angle between the hour hand and the minute hand of a clock at 8:20?
    1. 120 degrees
    2. 140 degrees
    3. 110 degrees
    4. 130 degrees
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  8. Question 8

    If the 3rd day of a month is a Tuesday, what will be the day of the week on the 25th of that exact same month?
    1. Tuesday
    2. Wednesday
    3. Thursday
    4. Monday
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  9. Question 9

    If '+' means '÷', '-' means '×', '×' means '+', and '÷' means '-', then what is the value of 16 + 4 - 3 ÷ 4 × 2?
    1. 10
    2. 12
    3. 14
    4. 8
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  10. Question 10

    In a class of 45 students, A is ranked 15th from the top. B is ranked exactly 5 ranks below A. What is B's rank from the bottom?
    1. 25th
    2. 26th
    3. 27th
    4. 24th
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  11. Question 11

    Five persons A, B, C, D, and E are sitting in a row facing North. A is to the immediate left of C. D is to the immediate right of E. B is sitting at the extreme right end. A is exactly in the middle. Who is sitting at the extreme left end?
    1. C
    2. D
    3. A
    4. E
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  12. Question 12

    Read the statements and identify which conclusions logically follow:

    Statements:
    Some cats are dogs.
    All dogs are birds.

    Conclusions:
    I. Some cats are birds.
    II. Some birds are cats.
    1. Only I follows
    2. Only II follows
    3. Both I and II follow
    4. Neither I nor II follows
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  13. Question 13

    How many total squares are there on a standard 8 by 8 chessboard?
    1. 64
    2. 204
    3. 144
    4. 256
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  14. Question 14

    In a mixed group of cows and hens, the total number of legs is 14 more than twice the total number of heads. How many cows are there in the group?
    1. 5
    2. 10
    3. 7
    4. 12
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  15. Question 15

    The present ages of A and B are in the ratio 5:4. Exactly 3 years from now, their ages will be in the ratio 11:9. What is B's present age?
    1. 24 years
    2. 30 years
    3. 20 years
    4. 28 years
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  16. Question 16

    In an election between two candidates, the winning candidate secured 55% of the valid votes. 20% of the total votes polled were declared invalid. If the total number of votes polled was 7500, what was the number of valid votes secured by the losing candidate?
    1. 2700
    2. 2900
    3. 3000
    4. 3300
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  17. Question 17

    A merchant sells an article at a 10% loss. If he had sold it for Rs 50 more, he would have made a 10% profit. What is the original cost price of the article?
    1. Rs 200
    2. Rs 500
    3. Rs 300
    4. Rs 250
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  18. Question 18

    At what exact rate percent per annum will a given sum of money mathematically double itself in 8 years under Simple Interest?
    1. 10%
    2. 12%
    3. 12.5%
    4. 15%
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  19. Question 19

    The average weight of 10 oarsmen in a boat increases by exactly 1.5 kg when one of the crew, who weighs 58 kg, is replaced by a completely new man. What is the weight of the new man?
    1. 70 kg
    2. 73 kg
    3. 75 kg
    4. 68 kg
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  20. Question 20

    A can complete a piece of work in 15 days, and B can complete it in 20 days. If they work together on it for exactly 4 days, what exact fraction of the work is still left to be completed?
    1. 8/15
    2. 7/15
    3. 1/4
    4. 1/3
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  21. Question 21

    A fast-moving train that is 150 meters long is running at a speed of 72 km/hr. How long will it take to completely pass a bridge that is
    1. 15 seconds
    2. 18 seconds
    3. 20 seconds
    4. 25 seconds
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  22. Question 22

    A man rows his boat 15 km upstream and 25 km downstream, taking exactly 5 hours each time. What is the velocity of the river current?
    1. 1 km/hr
    2. 2 km/hr
    3. 3 km/hr
    4. 4 km/hr
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  23. Question 23

    The sum of two numbers is 36, and their Highest Common Factor (HCF) and Least Common Multiple (LCM) are 3 and 105 respectively. What is the sum of the reciprocals of these two numbers?
    1. 2 /35
    2. 3/35
    3. 6/35
    4. 4/35
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  24. Question 24

    A mixture of 40 liters of milk and water contains exactly 10% water. How much additional pure water must be physically added to this mixture so that the new mixture contains 20% water?
    1. 4 liters
    2. 5 liters
    3. 6 liters
    4. 8 liters
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  25. Question 25

    A, B, and C enter into a partnership. A invests 1/3 of the total capital for 1/3 of the total time. B invests 1/6 of the total capital for 1/3 of the time, and C invests the remaining capital for the entire time. If the total profit earned at the end of the term is Rs 24,000, what is C's share of the profit?
    1. Rs 12,000
    2. Rs 16,000
    3. Rs 18,000
    4. Rs 14,000
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  26. Question 26

    Find the missing term:

    68 : 130 :: ? : 350
    1. 240
    2. 222
    3. 216
    4. 210
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  27. Question 27

    Find the missing number in the series:

    3, 4, 12, 45, 196, ?
    1. 1005
    2. 980
    3. 1015
    4. 895
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  28. Question 28

    In a certain code language, if 'MONKEY' is written as 'XDJMNL', how is 'TIGER' written in that same code?
    1. QDFHS
    2. SDFHS
    3. SHFDQ
    4. UJHFS
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  29. Question 29

    Read the following relationships carefully:

    A + B means A is the father of B.
    A - B means A is the wife of B.
    A × B means A is the brother of B.
    A ÷ B means A is the daughter of B.

    If the expression P ÷ R + S + Q is given, how is P related to Q?
    1. Daughter
    2. Sister
    3. Aunt
    4. Mother
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  30. Question 30

    A man walks 10 km towards the North. He turns left and walks 4 km. Then, he turns right and walks 5 km. Finally, he turns right again and walks 4 km. How far is he from his starting point?
    1. 14 km
    2. 15 km
    3. 19 km
    4. 23 km
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  31. Question 31

    In an examination of 100 students, 60 students passed in Mathematics, 50 students passed in English, and 20 students failed in both subjects. How many students passed in both Mathematics and English?
    1. 20
    2. 30
    3. 40
    4. 10
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  32. Question 32

    A solid cube is painted red on all of its faces. It is then cut into 64 smaller cubes of perfectly equal size. How many of these smaller cubes have absolutely no face painted?
    1. 4
    2. 8
    3. 12
    4. 16
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  33. Question 33

    At what exact time between 4 o'clock and 5 o'clock will the hands of a clock be at a right angle (90 degrees)?
    1. 38 and 2/11 minutes past 4
    2. 40 minutes past 4
    3. 35 and 5/11 minutes past 4
    4. 43 and 7/11 minutes past 4
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  34. Question 34

    If 13 × 12 = 651, and 41 × 23 = 349, then what is the value of 24 × 22?
    1. 528
    2. 825
    3. 624
    4. 426
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  35. Question 35

    In a queue of students, Amit is 15th from the front and Sumit is 20th from the back. When they completely interchange their positions, Amit becomes 25th from the front. What is the total number of students in the queue?
    1. 45
    2. 46
    3. 43
    4. 44
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  36. Question 36

    Six people A, B, C, D, E, and F are sitting around a circular table facing the center. B is second to the right of A. C is sitting to the immediate left of A. D is sitting completely opposite to C. E is sitting to the immediate right of D. Who is sitting exactly opposite to A?
    1. F
    2. B
    3. E
    4. D
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  37. Question 37

    Read the statements and identify which conclusions logically follow:

    Statements:
    All doors are buses.
    All buses are leaves.
    No leaf is a flower.

    Conclusions:
    I. No flower is a door.
    II. Some leaves are doors.
    1. Only I follows
    2. Only II follows
    3. Both I and II follow
    4. Neither I nor II follows
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  38. Question 38

    It was Sunday on January 1st, 2006. What was the exact day of the week on January 1st, 2010?
    1. Thursday
    2. Friday
    3. Saturday
    4. Wednesday
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  39. Question 39

    A monkey attempts to climb a 60-meter high slippery pole. In the first minute, he climbs 6 meters, but in the second minute, he slips down 3 meters. This alternating pattern continues. How much total time will he take to reach the very top of the pole?
    1. 36 minutes
    2. 37 minutes
    3. 40 minutes
    4. 38 minutes
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  40. Question 40

    In a certain coded language, '253' means 'books are old', '546' means 'man is old', and '378' means 'buy good books'. Which digit specifically stands for the word 'are'?
    1. 5
    2. 4
    3. 3
    4. 2
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  41. Question 41

    Ten years ago, A's age was exactly half of B's age. If the ratio of their present ages is 3:4, what is the sum of their present ages?
    1. 25 years
    2. 30 years
    3. 35 years
    4. 40 years
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  42. Question 42

    In an examination, a candidate scoring 25% marks fails by 30 marks, while another candidate scoring 50% marks gets 20 marks more than the minimum passing marks. What is the minimum pass percentage?
    1. 40%
    2. 35%
    3. 45%
    4. 38%
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  43. Question 43

    A man sold two different articles for Rs 2970 each. On the first article, he gained 10%, and on the second article, he lost 10%. What is his overall profit or loss percentage in the entire transaction?
    1. 1% profit
    2. 1% loss
    3. No profit no loss
    4. 2% loss
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  44. Question 44

    The difference between the Compound Interest and the Simple Interest earned on a certain sum at 10% per annum for a period of 3 years is Rs 93. What is the original sum (principal)?
    1. Rs 3000
    2. Rs 3500
    3. Rs 4000
    4. Rs 2500
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  45. Question 45

    A can do a piece of work in 20 days, and B can do the same in 30 days. They started the work together, but A abandoned the work 5 days before its completion. How many days did the total work last?
    1. 12 days
    2. 14 days
    3. 15 days
    4. 16 days
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  46. Question 46

    Two trains of equal length are running on parallel tracks in the same direction at speeds of 46 km/hr and 36 km/hr respectively. The faster train completely passes the slower train in 36 seconds. What is the length of each train?
    1. 50 meters
    2. 100 meters
    3. 75 meters
    4. 120 meters
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  47. Question 47

    A boat can travel 24 km upstream and 28 km downstream in exactly 6 hours. It can also travel 30 km upstream and 21 km downstream in 6.5 hours. What is the speed of the boat in completely still water?
    1. 12 km/hr
    2. 8 km/hr
    3. 14 km/hr
    4. 10 km/hr
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  48. Question 48

    A specific number, when divided by 899, leaves a remainder of 63. If that exact same number is divided by 29, what will be the new remainder?
    1. 5
    2. 2
    3. 8
    4. 11
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  49. Question 49

    The average age of a committee consisting of 8 members is 40 years. A member aged 55 years retired and was immediately replaced by a new member aged 39 years. What is the new average age of the committee?
    1. 39 years
    2. 38 years
    3. 37.5 years
    4. 38.5 years
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  50. Question 50

    If x + (1 ÷ x) = 5, what is the exact value of x³ + (1 ÷ x³)?
    1. 125
    2. 120
    3. 115
    4. 110
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  51. Question 51

    In the following number series, what will replace the question mark?

    3, 10, 31, 94, ?
    1. 197
    2. 283
    3. 211
    4. 246
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  52. Question 52

    In a certain coded language, "MACHINE" is written as "19-7-9-14-15-20-11". How will the word "DANGER" be written in that same code?
    1. 11-7-20-16-11-24
    2. 10-7-20-13-11-24
    3. 13-7-20-9-11-25
    4. 10-7-20-14-11-24
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  53. Question 53

    Book : Publisher :: Film : ?
    1. Writer
    2. Editor
    3. Producer
    4. Director
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  54. Question 54

    If 'CAT' is coded as 24 and 'DOG' is coded as 26, how will 'PIG' be coded?
    1. 32
    2. 41
    3. 37
    4. 45
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  55. Question 55

    Pointing to a man in a photograph, a woman said, "His brother's father is the only son of my grandfather." How is the woman related to the man in the photograph?
    1. Mother
    2. Aunt
    3. Daughter
    4. Sister
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  56. Question 56

    Rahul walks 10 km towards the North, turns right and walks 5 km, then turns right again and walks 10 km. In which direction is he now from his starting point?
    1. West
    2. East
    3. North
    4. South
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  57. Question 57

    If today is Monday, what day of the week will it be after 61 days?
    1. Saturday
    2. Wednesday
    3. Tuesday
    4. Thursday
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  58. Question 58

    If '+' means 'multiplied by', '-' means 'added to', 'x' means 'divided by', and '÷' means 'subtracted from', what is the value of 10 + 5 × 2 - 4 ?
    1. 15
    2. 21
    3. 29
    4. 25
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  59. Question 59

    In a class of 40 students, Rohan's rank is 15th from the top. What is his rank from the bottom?
    1. 26th
    2. 24th
    3. 25th
    4. 27th
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  60. Question 60

    12 : 144 :: 15 : ?
    1. 125
    2. 150
    3. 250
    4. 225
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  61. Question 61

    Find the odd one out from the given options.
    1. Apple
    2. Carrot
    3. Banana
    4. Mango
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  62. Question 62

    Four standard dice are thrown on the ground. The total of numbers on the top faces of these four dice is 13. What is the total of the numbers on the bottom faces?
    1. 11
    2. 13
    3. 15
    4. 17
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  63. Question 63

    A shepherd has 17 sheep. All but 9 died. How many live sheep are left?
    1. 8
    2. 17
    3. 9
    4. 0
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  64. Question 64

    Find the next letters in the series:

    A, C, F, J, ?
    1. O
    2. P
    3. N
    4. M
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  65. Question 65

    rrange the following words in a logical and meaningful sequence:

    1. Birth,
    2. Death,
    3. Childhood,
    4. Infancy,
    5. Old Age.
    1. 1, 3, 4, 5, 2
    2. 1, 4, 3, 5, 2
    3. 1, 4, 3, 2, 5
    4. 4, 1, 3, 5, 2
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  66. Question 66

    If 20 percent of a number is 40, what is 80 percent of that number?
    1. 80
    2. 160
    3. 120
    4. 200
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  67. Question 67

    The ratio of the ages of A and B is 3:4. The sum of their ages is 28 years. What is the age of B?
    1. 12 years
    2. 20 years
    3. 14 years
    4. 16 years
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  68. Question 68

    An article is bought for Rs 500 and sold for Rs 600. What is the profit percentage (%)?
    1. 10 %
    2. 15 %
    3. 25 %
    4. 20 %
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  69. Question 69

    A car travels a distance of 180 km in 3 hours. What is its speed in meters per second?
    1. 15 m/s
    2. 50 m/s
    3. 16.66 m/s
    4. 10 m/s
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  70. Question 70

    The average of 5 consecutive odd numbers is 15. What is the largest number in this series?
    1. 17
    2. 21
    3. 19
    4. 23
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  71. Question 71

    What is the simple interest on a principal of Rs 2000 at a rate of 5 percent per annum for 2 years?
    1. Rs 200
    2. Rs 100
    3. Rs 400
    4. Rs 300
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  72. Question 72

    A can do a piece of work in 10 days and B can do the same work in 15 days. How many days will they take to complete it together?
    1. 5 days
    2. 12 days
    3. 8 days
    4. 6 days
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  73. Question 73

    The HCF of two numbers is 8 and their LCM is 48. If one number is 16, what is the other number?
    1. 32
    2. 24
    3. 12
    4. 36
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  74. Question 74

    A boat can travel with a speed of 10 km/hr in still water. If the speed of the stream is 2 km/hr, what is its downstream speed?
    1. 12 km/hr
    2. 20 km/hr
    3. 10 km/hr
    4. 8 km/hr
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  75. Question 75

    If x + y = 10 and x - y = 4, what is the value of x?
    1. 3
    2. 6
    3. 7
    4. 8
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  76. Question 76

    Find the odd one out.
    1. Linesman
    2. Helper
    3. Umpire
    4. Referee
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  77. Question 77

    If ABCDLMN is decoded from ZYXWMNO, select the right choice:

    How can INDIA be coded?
    1. DINIM
    2. DRWIZ
    3. INDWR
    4. RMWRZ
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  78. Question 78

    How many 9 are sandwiched between 6 and 7 in 69699667697966977966?
    1. 2
    2. 3
    3. 4
    4. 5
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  79. Question 79

    Q's mother is the sister of P and the daughter of M. S is the daughter of P and the sister of T. How is M related to T?
    1. Father
    2. Grandfather
    3. Grandmother
    4. Either Grandmother or Grandfather
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  80. Question 80

    Three persons' ages in years add up to 73 years. What will be their total age 10 years later?
    1. 103 years
    2. 83 years
    3. 98 years
    4. 88 years
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  81. Question 81

    If 6×6 = 33, 7×2 = 36, and 4×8 = 24, then 8×4 = ?
    1. 24
    2. 48
    3. 84
    4. 42
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  82. Question 82

    Hand : Glove :: Head : ?
    1. Hair
    2. Hat
    3. Neck
    4. Eyes
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  83. Question 83

    Find the missing number in the series: 5, 10, 20, 40, ?
    1. 60
    2. 80
    3. 100
    4. 50
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  84. Question 84

    A man walks 5 km East, turns right and walks 3 km, then turns right again and walks 5 km. How far is he from his starting point?
    1. 3 km
    2. 13 km
    3. 5 km
    4. 8 km
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  85. Question 85

    If today is Friday, what day of the week will it be exactly after 15 days?
    1. Sunday
    2. Friday
    3. Saturday
    4. Monday
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  86. Question 86

    In a row of 30 students, Amit is ranked 10th from the left end and Sumit is ranked 15th from the right end. How many students are sitting exactly between them?
    1. 4
    2. 6
    3. 7
    4. 5
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  87. Question 87

    Four friends A, B, C, and D are sitting in a straight row facing North. A is sitting immediately next to B, and C is sitting immediately next to D. If D is sitting at the extreme right end, who is sitting at the extreme left end?
    1. A
    2. B
    3. C
    4. Cannot be determined
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  88. Question 88

    In a standard dice, if the number 3 is on the top face, which number will strictly be on the bottom face?
    1. 2
    2. 4
    3. 5
    4. 6
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  89. Question 89

    What is the absolute minimum number of straight lines required to draw a standard square along with its two intersecting diagonals?
    1. 6
    2. 4
    3. 8
    4. 5
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  90. Question 90

    △ ABC is right-angled at B. If AB = 24 mn and BC = 7 mn, then AC = ?
    1. 31 mn
    2. 21 mn
    3. 35 mn
    4. 25 mn
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  91. Question 91

    The speeds of three cars are in the ratio 2:3:4. The ratio between the time taken by these cars to travel the exact same distance is:
    1. 2:3:4
    2. 4:3:2
    3. 6:4:3
    4. 3:4:6
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  92. Question 92

    If 17200 is divided by 18, the remainder is:
    1. 1
    2. 5
    3. 16
    4. 17
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  93. Question 93

    40% of A is equal to 60% of B. The ratio of A : B will be:
    1. 2:3
    2. 3:2
    3. 4:6
    4. 5:2
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  94. Question 94

    A shopkeeper buys a book for Rs 200 and sells it for Rs 250. What is his profit percentage?
    1. 20 %
    2. 15 %
    3. 30 %
    4. 25 %
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  95. Question 95

    Calculate the simple interest on a principal amount of Rs 5000 at an interest rate of 10 percent per annum for a period of 2 years.
    1. Rs 500
    2. Rs 1000
    3. Rs 1500
    4. Rs 800
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  96. Question 96

    What is the average of the first five even numbers?
    1. 6
    2. 4
    3. 8
    4. 2
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  97. Question 97

    A can complete a task in 20 days, and B can complete the same task in 30 days. If they work together, how many days will they take to finish it?
    1. 10 days
    2. 15 days
    3. 12 days
    4. 18 days
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  98. Question 98

    The speed of a boat in perfectly still water is 10 km/hr. If the speed of the river stream is 2 km/hr, what is the boat's upstream speed?
    1. 12 km/hr
    2. 8 km/hr
    3. 10 km/hr
    4. 6 km/hr
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  99. Question 99

    Simplify the following expression: 15 + 5 × 3 - 10
    1. 50
    2. 10
    3. 20
    4. 30
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  100. Question 100

    A is the mother of B and C. If C is the wife of D, how is A related to D?
    1. Mother
    2. Mother-in-law
    3. Aunt
    4. Sister
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